Meaning of algebraic group | Babel Free

Definitions

A group that is an algebraic variety.

Examples

“The purpose of this article is to discuss various results concerning the subgroups of simple algebraic groups G and of the corresponding finite groups of Lie type G^F (where F is a Frobenius morphism).”

“We begin by showing how to make the quotient of an affine algebraic group by a normal algebraic subgroup into an affine algebraic group, and we determine the structure of commutative affine algebraic groups.”

“2011, Teresa Crespo, Zbigniew Hajto, Algebraic Groups and Differential Galois Theory, American Mathematical Society, page 75, We point out that some properties of an algebraic group are more easily read in its Lie algebra. An important property of an algebraic group is its solvability.”

CEFR level